added assignment 1

src/Assignment1/FirstSteps.sc

@@ -0,0 +1,13 @@
+def sqr(x: Double): Double = x * x
+def pow4(x: Double): Double = sqr(x) * sqr(x)
+
+sqr(3)
+sqr(7)
+sqr(0.5)
+sqr(-2)
+
+pow4(2)
+pow4(10)
+
+// def bar(x: Int, y: Boolean) = "Hello"
+// A String

src/Assignment1/SquareRoot.sc

@@ -0,0 +1,18 @@
+import scala.annotation.tailrec
+
+def THRESHOLD: Double = 0.0001
+
+def sqr(x: Double): Double = x * x
+def isGoodEnough(x: Double): Boolean = if (x < 0) x > THRESHOLD else x < THRESHOLD
+def improve(x: Double, approx: Double) = approx - (sqr(approx) - x) / (2 * approx)
+
+@tailrec
+def sqrt(x: Double, approx: Double): Double = if (
+  isGoodEnough(sqr(approx) - x)
+) {
+  approx
+} else {
+  sqrt(x, improve(x, approx))
+}
+
+sqrt(612, 10)